Unit 4.2 Notes
5
TRIANGLE CONGRUENCE BY SSS AND SAS Unit 4.2 Notes
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Unit 4.2 Notes. Triangle Congruence by SSS and SAS. Reminder:. 3. 3. 2. 1. 1. 2. B y T heorem 4.1, we had to have three sets of congruent sides and three sets of congruent angles in order to prove two triangles are congruent. - PowerPoint PPT Presentation
Transcript of Unit 4.2 Notes
TRIANGLE CONGRUENCE BY
SSS AND SAS
Unit 4.2 Notes
By Theorem 4.1, we had to have three sets of congruent
sides and three sets of congruent angles in order to
prove two triangles are congruent.
Reminder:
By Theorem 4.1, we had to have three sets of congruent
sides and three sets of congruent angles in order to
prove two triangles are congruent.
By Theorem 4.1, we had to have three sets of congruent
sides and three sets of congruent angles in order to
prove two triangles are congruent.
1
3
122
3
But in this section:
We will be able to prove triangles are congruent without
all the sides and angles.
In fact, we can prove two triangles are congruent by looking at just the sides alone.
ABC XYZ
Side-Side-Side (SSS) Postulate-
If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.
We can also conclude two triangles are congruent if they have two congruent sides and one congruent angle between the sides.
LNM HJK
Side-Angle-Side (SAS) Postulate-
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
